55533110561280 has 1280 divisors, whose sum is σ = 217008253440000. Its totient is φ = 13349401067520.

The previous prime is 55533110561251. The next prime is 55533110561287. The reversal of 55533110561280 is 8216501133555.

55533110561280 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 3 + 1 + 1 + 0 + 561 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×55533110561280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55533110561287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74741736589 + ... + 74741737331.

It is an arithmetic number, because the mean of its divisors is an integer number (169537698000).

Almost surely, 2^{55533110561280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55533110561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108504126720000).

55533110561280 is an abundant number, since it is smaller than the sum of its proper divisors (161475142878720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55533110561280 is a wasteful number, since it uses less digits than its factorization.

55533110561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 55533110561280 in words is "fifty-five trillion, five hundred thirty-three billion, one hundred ten million, five hundred sixty-one thousand, two hundred eighty".